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Finding the Fourth Proportional to 722.98, 989.16 and 719.92

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Solution

The fourth proportional to 722.98, 989.16 and 719.92 is: 984.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.98 : 989.16 = 719.92 : x
  2. Step 2: Convert to fraction form
    722.98/989.16 = 719.92/x
  3. Step 3: Cross multiply
    722.98x = 989.16 × 719.92
  4. Step 4: Simplify right side
    722.98x = 712,116.07
  5. Step 5: Solve for x
    x = 712,116.07/722.98
  6. Step 6: Final answer
    x = 984.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.